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v3.22.0.1

Leases - Additional Information (Details) | 12 Months Ended
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Jan. 01, 2022
Lessee, Lease, Description [Line Items] |
Lease, remaining term | 13 years
Lease, option to extend, term | 5 years
China and Canada |
Lessee, Lease, Description [Line Items] |
Lease, option to extend, term | 10 years

X
- Definition Lease, Option to Extend, Term + References No definition available. + Details
Name: | kai_LeaseOptiontoExtendTerm
Namespace Prefix: | kai_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Lease, Remaining Term + References No definition available. + Details
Name: | kai_LeaseRemainingTerm
Namespace Prefix: | kai_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | srt_StatementGeographicalAxis=kai_ChinaandCanadaMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |